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# A COMPARISON OF APPROXIMATE INTERVAL ESTIMATORS FOR THE BERNOULLI PARAMETER

Lawrence M Leemis, Kishor S. Trivedi

Published 1993 · Mathematics

The goal of this paper is to compare the accuracy of two approximate confidence interval estimators for the Bernoulli parameter p. The approximate confidence intervals are based on the normal and Poisson approximations to the binomial distribution. Charts are given to indicate which approximation is appropriate for certain sample sizes and point estimators.

This paper references

WORDS: Binomial distribution; Conndence interval; Poisson distribution

10.1097/00005373-196507000-00010

STATISTICS: AN INTRODUCTION.

S. Schor (1965)

10.1038/153008b0

Mathematical Statistics

R. F. (1944)

Complete Business Statistics (2nd ed.), Homewood

A. D. Aczel (1993)

10.1093/BIOMET/26.4.404

THE USE OF CONFIDENCE OR FIDUCIAL LIMITS ILLUSTRATED IN THE CASE OF THE BINOMIAL

C. J. Clopper (1934)

10.2307/1269438

Probability and Statistics for Modern Engineering

Lawrence L. Lapin (1983)

10.1002/SIM.4780120902

Confidence intervals for a binomial proportion.

S. Vollset (1993)

Mathematical Statistics (5th ed.), Englewood Cliffs, NJ

J. E. Freund (1992)

Giegy Scientific Tables

C Lentner (1982)

Mathematica - a system for doing mathematics by computer, 2nd Edition

S. Wolfram (1988)

10.2307/2346239

Probability and Statistical Inference

P. Green (1978)

Probability and statistics with reliability

Kishor S. Trivedi (1982)

10.1038/155531b0

Elementary Statistics

M. Kendall (1945)

10.1080/00401706.1994.10485860

A First Course in Probability Models and Statistical Inference

B. Gunter (1994)

A First Course in Probability (4th ed.)

S. Ross (1994)

Introduction to Statis

D. R. Anderson (1994)

Basic Statistics, Dubuque

(1994)

10.2307/1270251

Statistics for engineering and the sciences

W. Mendenhall (1984)

10.1080/01621459.1983.10477938

Binomial Confidence Intervals

C. Blyth (1983)

An introduction to mathematical statistics and its applications / Richard J. Larsen, Morris L. Marx

R. J. Larsen (1986)

Complete Business Statistics (2nd ed.), Homewood, IL: Irwin

A. D. Aczel (1993)

Just say no.

Carlon Gc (1989)

10.2307/2324863

Mathematica--A System for Doing Mathematics by Computer.

Lawrence S. Kroll (1989)

10.1038/177679a0

Probability and Statistical Inference

M. Kendall (1956)

10.2307/2309497

An introduction to mathematical statistics

H. Brunk (1960)

Statistics: An Introduction, Englewood Cliffs, NJ: Prentice–Hall

R. N. Goldman (1985)

10.2307/2344459

Probability and Statistics for Engineers and Scientists.

G. Kanji (1978)

10.2307/2319116

Introductory Mathematical Statistics.

B. Korin (1970)

10.1016/0167-7152(91)90125-B

The maximum difference between the binomial and Poisson distributions

H. Poor (1991)

10.1038/160625b0

Introduction to Mathematical Statistics

DAVID G. Kendall (1947)

Choosing between Normal and Poisson Approximations to the Cumulative Binomial Probabilities: A New Method

A Azzam (1991)

10.2307/2684824

A First Course in Probability Models and Statistical Inference

B. King (1994)

Approximate Binomial Con dence Limits,

C. R. Blyth (1986)

Elementary statistics

P. G. Hoel (1971)

10.1093/BIOMET/67.3.677

Approximate binomial confidence limits

Y. Fujino (1980)

Probability & Statistics with Reliability, Queueing and Computer Science Applications

K. S. Trividi (1982)

10.2307/2348922

Exact Confidence Limits for Binomial Proportions—Brenner & Quan Revisited

J. Copas (1992)

10.2307/2684651

Probability and statistics for engineers

R. Scheaffer (1986)

Elementary Statistics (5th ed.), Reading, MA: Addison–Wesley

ed (1995)

10.1080/00031305.1992.10475850

Just Say no to Binomial (and other Discrete Distributions) Tables

R. Ling (1992)

10.1080/01621459.1990.10476229

The Accuracy of Approximate Intervals for a Binomial Parameter

H. Chen (1990)

10.2307/2322693

Probability and Statistics with Reliability, Queuing, and Computer Science Applications

Kishor S. Trivedi (1982)

\Approximate Binomial Conndence Limits

C R Blyth (1986)

10.1080/01621459.1979.10481051

A Comparison of Some Approximate Confidence Intervals for the Binomial Parameter

B. K. Ghosh (1979)

Statistical Theory with Engineering Applications, New York: John Wiley

A. Hald (1952)

10.1080/00031305.1989.10475601

Two Rules of Thumb for the Approximation of the Binomial Distribution by the Normal Distribution

M. Schader (1989)

Choosing between Normal and

A. Azzam (1991)

Statistical Inference, Pacific Coast, CA: Wadsworth and Brooks/Cole

G. Casella (1990)

Just Say No to Binomial (and other Discrete Distributions

R. F. Geigy. Ling (1992)

Complete Business Statistics

Amir D. Aczel (1992)

Probability and Statistics for Modern Engineering, Brooks/Cole

L. L. Lapin (1983)

10.1016/0010-4825(92)90023-G

Simple SAS macros for the calculation of exact binomial and Poisson confidence limits.

L. Daly (1992)

Introduction to Statistics: Concepts and Applications

D R Anderson (1994)

gave SAS macros for computing many of the con dence intervals

p. Daly (1992)

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10.1542/peds.2009-1046

Cerebral Magnetic Resonance Biomarkers in Neonatal Encephalopathy: A Meta-analysis

S. Thayyil (2010)

Statistics; *Error of Measurement; *Estimation (Mathematics); Scaling; Simulation; *True Scores IDENTIFIERS *Confidence Intervals (Statistics); *Nonlinear

Descriptors Bayesian (2002)

Prospective R andomized T rial o f D ocetaxel V ersus B est Supportive C are i n P atients W ith N on-Small-Cell L ung Cancer P reviously T reated W ith P latinum-Based Chemotherapy

F. Shepherd (2011)

Cooperative Diversity in Wireless Networks: Relay Selection and Medium Access

C. Bettstetter (2011)

10.1002/cncr.31577

Statistical justification of expansion cohorts in phase 1 cancer trials

A. Mokdad (2018)

10.1016/j.ajog.2009.07.003

Long-term efficacy of the pubovaginal Mersilene mesh sling.

S. B. Young (2009)

Cognitive Radio Engine Design for Link Adaptation

Haris Volos (2010)

10.1109/TR.2010.2085552

Designing Reliability Demonstration Tests for One-Shot Systems Under Zero Component Failures

H. Guo (2011)

10.1007/s10618-008-0105-2

Pessimistic cost-sensitive active learning of decision trees for profit maximizing targeting campaigns

L. Rokach (2008)

8 Transanal Endoscopic Operation-A New Proposal 1

J. J. R. D. Rocha (2017)

10.4025/ACTASCITECHNOL.V24I0.2554

Comparação da robustez de alternativas do teste de igualdade de duas médias populacionais sob não normalidade por simulação Monte Carlo

R. B. Silva (2008)

10.1080/00031305.1998.10480550

Approximate is Better than “Exact” for Interval Estimation of Binomial Proportions

A. Agresti (1998)

10.1016/J.CLON.2006.02.004

Intra-European differences in the radiotherapeutic management of breast cancer: a survey study.

R. Jagsi (2006)

10.3816/CLC.2007.N.014

Single-Institution Experience with Pemetrexedand Bevacizumab as Salvage Therapy in AdvancedNon–Small-Cell Lung Cancer

G. Weiss (2007)

10.1007/s10620-009-0862-9

Can Endoscopic Ultrasound Predict Early Rectal Cancers That Can Be Resected Endoscopically? A Meta-Analysis and Systematic Review

S. Puli (2009)

Original Article A 6 month, prospective, observational study of PDE5 inhibitor treatment persistence and adherence in Latin American men with erectile dysfunction

E. Rubio-Aurioles (2013)

Epstein Barr Virus and Atrial Fibrillation – a Causal Link?

Ilija Barukčić (2018)

10.1007/s10489-014-0594-1

A novel estimator based learning automata algorithm

Hao Ge (2014)

10.1016/j.lungcan.2015.02.014

Final results from a Phase II study of pemetrexed and cisplatin with concurrent thoracic radiation after Pem-Cis induction in patients with unresectable locally advanced non-squamous non-small cell lung cancer (NSCLC).

P. Garrido (2015)

10.1097/MEG.0000000000001402

Peroral cholangioscopy with cholangioscopy-directed biopsies in the diagnosis of biliary malignancies: a systemic review and meta-analysis

Maaz B. Badshah (2019)

10.1002/JSO.20301

Surgical wound healing complications in metastatic colorectal cancer patients treated with bevacizumab

F. Scappaticci (2005)

10.1016/J.IJPORL.2007.02.005

High carrier frequency of the GJB2 mutation (35delG) in the north of Iran.

M. Chaleshtori (2007)

10.2307/3315916

Confidence curves and improved exact confidence intervals for discrete distributions

H. Blaker (2000)

A Comparison of the Diagnostic Accuracy of 18 F-FDG PET and CT in the Characterization of Solitary Pulmonary Nodules

J. Fletcher (2008)

10.1016/j.otohns.2007.01.002

Frozen-Section Biopsy Analysis for Acute Invasive Fungal Rhinosinusitis

Murtaza T. Ghadiali (2007)

10.3141/2343-06

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F. Benítez (2013)

10.1016/j.jclinepi.2017.11.003

Trial registry searches for randomized controlled trials of new drugs required registry-specific adaptation to achieve adequate sensitivity.

Marco Knelangen (2018)

10.1128/JCM.02431-10

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P. Patel (2011)

10.1200/JCO.2000.18.10.2095

Prospective randomized trial of docetaxel versus best supportive care in patients with non-small-cell lung cancer previously treated with platinum-based chemotherapy.

F. Shepherd (2000)

10.5183/JJSCS1988.15.19

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Manabu Iwasaki (2002)

Etude des troubles musculo-squelettiques multi-sites : données en population salariée dans les Pays de la Loire

E. Parot-Schinkel (2012)

Phase III Study of Pemetrexed in Combinat ion With Cisplat in Versus Cisplat in Alone in Pat ients With Mal ignant Pleural Mesothel ioma

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